Analysis of wave propagation through inhomogeneous left and right-handed media using the SPPS method

Abstract

Solutions of the wave equation are analyzed considering the propagation of electromagnetic fields through a non-homogeneous stratified metamaterial medium. These solutions are obtained by two methods: (1) Spectral Parameter Power Series (SPPS) and (2) SPPS with Operator Transmutation (OT). This last method is considered an innovation for this application. Numerical solutions are obtained for left-handed (LH) and right-handed (RH) media, which allow their reflectance and transmittance coefficients to be calculated. The performance of each method is evaluated by comparing their solutions with the exact ones available and with those obtained by the differential transfer matrix method (DTMM). The advantages and limitations of each method are indicated.

Keywords:

• SPPS method
• metamaterials
• operator transmutation
• reflectance coefficient
• transmittance coefficient

Acknowledgments

JALT would like to thank the CONACYT for financial support through a postdoctoral fellowship at the Telecommunications Department of ESIME ZAC.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

RCP would like to thank the support of Consejo Nacional de Ciencia y Tecnologìa (CONACYT) through project 15022 and of Instituto Politécnico Nacional through the SIBE and EDI programs, and project SIP 20231432. HOG would like to thank the support through project SIP 20230437.